lim,→ 0 2 sint/

Q: Use L’Hôpital’s Rule to evaluate the limit.

A: We have to evaluate the following limit: limit as x tends to zero, [sin (pi x)]/[sin (5 pi x)] using…

Q: why is the limit as x approaches 0 equal to 1/5 in the equation: ((sinx)/(5x))

A: The given limit is,

Q: Find the limit of Sin Cath)-sina lim

A: we need to find the value of, limh→0sin(a+h) - sin(a)h   when we substitute h=0, sina+0 - sina0 = 00…

Q: Find the limits in Exercise

A: Limits are used to calculate the approaching value of the function at which the exact value of the…

Q: Find the limit. sin(2x) lim

A: To determine the value of the limit.

Q: Find the limits in Exercise

A: To find the limit of

Q: Find two paths of approach from which one can conclude that the function has no limit as (z, y)…

A: Given fx,y=x4-yx4+y

Q: Find a limit if FedEx says if it does not exist right in DNE limit X to zero cosx tanx/2x

A:

Q: 2* lim x→0 x²

A:

Q: Estimate the limit numerically or state that the limit doesn't exist lim x→0  sin(4x)/x

A: Before we get into the evaluation of this limit, let's recall the fundamental rule of limit as shown…

Q: Use L'H to find the limit at x \arrow 0: arctan(5x)/x   x-->0

A:

Q: Find the limits. Are the functions continuous at the point being approached?

A:

Q: What is the limit as x approaches 0 of 2x/sin(2x)? Do so without using L'Hopital's Rule.

A:

Q: How do you evaluate the limit:  limx-->0  (sin(4x))/9x WITHOUT using L'Hospital's Rule?

A: A property:L'Hospital's Rule is not necessary here.The following is an important property used in…

Q: sin xy lim 0.

A:

Q: express the limit as a derivative.

A: Given expression

Q: Express the limit lim ! as a definite integral. Evaluate the definite integral. nil+(:)

A:

Q: Find the limit by rewriting the fractio sin (x2 +y'2) lim 12 12 (х,у) — (0,0) +y

A:

Q: Find the limits in Exercis

A: To evaluate: limx→0sin5xsin4x Solution: Given,limx→0sin5xsin4x On simplifying further we get:…

Q: Express the limit as a definite integral on the given interval. lim -Дх, [1, 4] (x;")² + 9 i = 1 dx

A:

Q: Find the limits in Exercise

A: Given, limθ→0cosπθsinθ we know expansion of sinx sinx=x-x33!+x55!-.... now put this expansion in…

Q: lim ) (sinx\ 1-cosx X→0

A:

Q: : Find the limit by using l'Hôpital's Rule. tan x sec 2x lim-o 3x

A:

Q: Express the limit as a definite integral on the given interval. lim -Ax, [1, 3] (x†)² + 2 i = 1 dx

A:

Q: Find the limit, if it exists. sin(8x) lim х

A: The given limit to calculate is

Q: Find the limit.  limit as x approaches 0 sin3x/x

A: Apply the limits and find the in-determinant form.

Q: Find the limits in Exercis

A: Given, limt→0sin1-cos t1-cos t

Q: 3. y = at point (0, -) X-3

A: Topic = Derivative

Q: Express the limit as a definite integral on the given interval. lim Ax, [1, 4] (x;)2 + 3 dx Need…

A: Given query is to write the expression as integral.

Q: Use l'Hopital's rule to find the limit. 20 lim x sin

A:

Q: Find the limit sin 2z cot 8z lim z cot 4z

A: First make the given each term of given limit in standard form and then solve.

Q: Use l’Hôpital’s rule to find the limits

A:

Q: Express the limit as a definite integral on the given interval. lim 21 (x)2 + 7 Ax, [1, 8] dx

A:

Q: Use l’Hôpital’s rule to find the limits

A: We have to find the limit using L' Hospital's rule: limx→0sin x-xx3 We know in L' Hospital's rule we…

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Estimate the limit numerically or state that the limit doesn't exist: sin(6z) lim (Enter DNE if the…

A: The given limit,limx→0sin(6x)x

Q: 1 1-cos x lim, →0 (sin

A:

Q: cos 3z-cos x 8. limz0

A:

Q: See image below.

A: To find: -

Q: What is the limit (as x approaches 0) of (sinx-tanx)/x^3?

A: lim sin x -tan xx3=lim sin x -sin xcos xx3=lim sin x cos x -sin xx3 cos x =lim (sin x x cos x)(cos x…

Q: sin 2x lim

A: Consider the given function, limx→∞sin2xx since is a continuous periodic function, as sin2x∈-1,1. as…

Q: How do you evaluate the limit:  limx-->0 (1-cos(7t))/(sin(7t))   WITHOUT using L'Hospital's rule?

A: Since the given function is function of  variable t but in question limit is given for variable x.…

Q: Determine the limit (if it exists). sinx(1- cosx) lim 2x° x →0

A: Given To Determine limit exists or not

Q: verify that L’Hôpital’s Rule applies and evaluate the limit.

A:

Q: Find the limits. Are the functions continuous at the point being approached?

A:

Q: Find the limits

A: Given that limx→∞1x∫0xtan-1tdt . First integrate the interval in the given expression.…

Q: (sec 0 – 1) lim 02

A:

Q: Give the definition of the definite integral as a limit using the right endpoint approximation.

A: Let's find.

Q: use l’Hôpital’s Rule to evaluate the limit

A: Here we have to use L'Hopital Rule ,  A=limx→0sin(5x)x